10002606649340 has 12 divisors (see below), whose sum is σ = 21005473963656. Its totient is φ = 4001042659728.

The previous prime is 10002606649333. The next prime is 10002606649349. The reversal of 10002606649340 is 4394660620001.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002606649349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250065166214 + ... + 250065166253.

It is an arithmetic number, because the mean of its divisors is an integer number (1750456163638).

Almost surely, 2^{10002606649340} is an apocalyptic number.

10002606649340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002606649340 is an abundant number, since it is smaller than the sum of its proper divisors (11002867314316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002606649340 is a wasteful number, since it uses less digits than its factorization.

10002606649340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500130332476 (or 500130332474 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 10002606649340 in words is "ten trillion, two billion, six hundred six million, six hundred forty-nine thousand, three hundred forty".